dual of D-stellation of icosahedron,|
D-faceting of dodecahedron,
vertex figure of paphicki
|Circumradius||sqrt(3)/2 = 0.866025|
|General of army||v-doe|
Even so dudsi is more directly been seen as a faceting of the dodecahedron, it well can be considered dually as being related to a stellation of the icosahedron. For the latter the du Val namings of complete shells, being used in turn within the set of "the fifty-nine [stellated] icosahedra", got known as a standard. The former lack such a standard. This is why the acronym is based on the dual figure.
As an abstract polyhedron dudsi is isomorph to hudsi, thereby maintaining the q-edges, but replacing the v-edges by f-edges, resp. replacing the triangular faces from being stip vertex figures into being pip vertex figures. – It then still remains vertex inscribed into a v-doe.
20 | 6 3 | 9 ---+-------+--- 2 | 60 * | 2 q 2 | * 30 | 2 v ---+-------+--- 3 | 2 1 | 60 verf(stip)
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